TSTP Solution File: LAT289+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:17:24 EDT 2023
% Result : Theorem 3.54s 1.13s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 114 ( 24 unt; 0 def)
% Number of atoms : 535 ( 31 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 693 ( 272 ~; 286 |; 110 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 176 ( 0 sgn; 89 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f36,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f52,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f68,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(f74,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(f75,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f76,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f85,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f88,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_lopclset) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f152,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f153,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f170,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f169]) ).
fof(f177,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f178,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f180]) ).
fof(f190,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f191,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f190]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ? [X2] :
( r2_hidden(sK1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
( ? [X2] :
( r2_hidden(sK1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
=> ( r2_hidden(sK1,sK2)
& ~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(sK2,sK0)
& m1_filter_0(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
( r2_hidden(sK1,sK2)
& ~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(sK2,sK0)
& m1_filter_0(sK2,sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f113,f199,f198,f197]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f243]) ).
fof(f245,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f246,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f247,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f248,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f249,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f250,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f200]) ).
fof(f251,plain,
m1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f252,plain,
v1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f253,plain,
~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(cnf_transformation,[],[f200]) ).
fof(f254,plain,
r2_hidden(sK1,sK2),
inference(cnf_transformation,[],[f200]) ).
fof(f320,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f322,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f358,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f383,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f387,plain,
! [X0] :
( v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f388,plain,
! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f389,plain,
! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f390,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f393,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f414,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f419,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_49,negated_conjecture,
r2_hidden(sK1,sK2),
inference(cnf_transformation,[],[f254]) ).
cnf(c_50,negated_conjecture,
~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(cnf_transformation,[],[f253]) ).
cnf(c_51,negated_conjecture,
v1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f252]) ).
cnf(c_52,negated_conjecture,
m1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f251]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f250]) ).
cnf(c_54,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f249]) ).
cnf(c_55,negated_conjecture,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f248]) ).
cnf(c_56,negated_conjecture,
v17_lattices(sK0),
inference(cnf_transformation,[],[f247]) ).
cnf(c_57,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f246]) ).
cnf(c_58,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f245]) ).
cnf(c_124,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_125,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_151,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_175,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_176,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k9_lopclset(X0) = k8_lopclset(X0)
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_180,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_181,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_182,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v1_funct_1(k9_lopclset(X0))
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_184,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_185,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_205,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_208,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,X2)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X0))
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_306,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
cnf(c_356,plain,
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
cnf(c_358,plain,
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_184]) ).
cnf(c_359,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(renaming,[status(thm)],[c_358]) ).
cnf(c_617,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3)
| v1_xboole_0(X1) ),
inference(bin_hyper_res,[status(thm)],[c_175,c_306]) ).
cnf(c_2228,plain,
( X0 != X1
| ~ l3_lattices(X0)
| l1_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_359,c_356]) ).
cnf(c_2229,plain,
( ~ l3_lattices(X0)
| l1_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2228]) ).
cnf(c_2525,plain,
( k1_zfmisc_1(k7_lopclset(X0)) != X3
| u1_struct_0(X0) != X2
| k9_lopclset(X0) != X1
| ~ m2_relset_1(X1,X2,X3)
| ~ m1_subset_1(X4,X2)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_funct_1(X1)
| k8_funct_2(X2,X3,X1,X4) = k1_funct_1(X1,X4)
| v3_realset2(X0)
| v3_struct_0(X0)
| v1_xboole_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_617,c_181]) ).
cnf(c_2526,plain,
( ~ m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2525]) ).
cnf(c_2528,plain,
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_realset2(X0)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2526,c_151,c_182,c_180,c_2229,c_2526]) ).
cnf(c_2529,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0) = k1_funct_1(k9_lopclset(X1),X0)
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2528]) ).
cnf(c_3293,plain,
( X0 != sK0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k9_lopclset(X0) = k8_lopclset(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_176]) ).
cnf(c_3294,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| k9_lopclset(sK0) = k8_lopclset(sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3293]) ).
cnf(c_3295,plain,
k9_lopclset(sK0) = k8_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_3294,c_57,c_56,c_54,c_58,c_3294]) ).
cnf(c_3300,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_2529]) ).
cnf(c_3301,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0) = k1_funct_1(k9_lopclset(sK0),X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3300]) ).
cnf(c_3303,plain,
( k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0) = k1_funct_1(k9_lopclset(sK0),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3301,c_57,c_56,c_54,c_58,c_3301]) ).
cnf(c_3304,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0) = k1_funct_1(k9_lopclset(sK0),X0) ),
inference(renaming,[status(thm)],[c_3303]) ).
cnf(c_3360,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_208]) ).
cnf(c_3361,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ m1_filter_0(X1,sK0)
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3360]) ).
cnf(c_3362,plain,
( r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ m1_filter_0(X1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_3361,c_57,c_56,c_54,c_58,c_3361]) ).
cnf(c_3363,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ m1_filter_0(X1,sK0)
| r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(renaming,[status(thm)],[c_3362]) ).
cnf(c_3678,plain,
( X0 != sK0
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_185]) ).
cnf(c_3679,plain,
( ~ m1_filter_0(X0,sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3678]) ).
cnf(c_3681,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_filter_0(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_3679,c_54,c_58,c_3679]) ).
cnf(c_3682,plain,
( ~ m1_filter_0(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_3681]) ).
cnf(c_6013,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ m1_filter_0(X1,sK0)
| r2_hidden(X1,k1_funct_1(k9_lopclset(sK0),X0)) ),
inference(light_normalisation,[status(thm)],[c_3363,c_3295]) ).
cnf(c_8629,plain,
k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1) = k1_funct_1(k9_lopclset(sK0),sK1),
inference(superposition,[status(thm)],[c_53,c_3304]) ).
cnf(c_8631,plain,
~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1)),
inference(demodulation,[status(thm)],[c_50,c_8629]) ).
cnf(c_8816,plain,
( ~ r2_hidden(X0,X1)
| ~ m1_filter_0(X1,sK0)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_3682,c_205]) ).
cnf(c_8934,plain,
( ~ r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ m1_filter_0(X1,sK0)
| r2_hidden(X1,k1_funct_1(k9_lopclset(sK0),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6013,c_6013,c_8816]) ).
cnf(c_8950,plain,
( ~ r2_hidden(sK1,sK2)
| ~ v1_filter_0(sK2,sK0)
| ~ m1_filter_0(sK2,sK0) ),
inference(superposition,[status(thm)],[c_8934,c_8631]) ).
cnf(c_8953,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8950,c_52,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 08:07:56 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.13 % SZS status Started for theBenchmark.p
% 3.54/1.13 % SZS status Theorem for theBenchmark.p
% 3.54/1.13
% 3.54/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.54/1.13
% 3.54/1.13 ------ iProver source info
% 3.54/1.13
% 3.54/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.54/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.54/1.13 git: non_committed_changes: false
% 3.54/1.13 git: last_make_outside_of_git: false
% 3.54/1.13
% 3.54/1.13 ------ Parsing...
% 3.54/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 14 sf_s rm: 32 0s sf_e pe_s pe_e
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.13 ------ Proving...
% 3.54/1.13 ------ Problem Properties
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 clauses 92
% 3.54/1.13 conjectures 6
% 3.54/1.13 EPR 17
% 3.54/1.13 Horn 81
% 3.54/1.13 unary 41
% 3.54/1.13 binary 34
% 3.54/1.13 lits 168
% 3.54/1.13 lits eq 13
% 3.54/1.13 fd_pure 0
% 3.54/1.13 fd_pseudo 0
% 3.54/1.13 fd_cond 1
% 3.54/1.13 fd_pseudo_cond 3
% 3.54/1.13 AC symbols 0
% 3.54/1.13
% 3.54/1.13 ------ Schedule dynamic 5 is on
% 3.54/1.13
% 3.54/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 ------
% 3.54/1.13 Current options:
% 3.54/1.13 ------
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 ------ Proving...
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 % SZS status Theorem for theBenchmark.p
% 3.54/1.13
% 3.54/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.13
% 3.54/1.13
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